Δ-Meixner-Sobolev orthogonal polynomials: Mehler-Heine type formula and zeros

被引：6

作者：

Moreno-Balcazar, Juan J. ^{[1
]}

机构：

[1] Univ Almeria, Dept Matemat, La Canada De San Urbano, Almeria, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 284卷

关键词：

Meixner polynomials; Mehler-Heine formulae; Nonstandard orthogonality; Zeros; ASYMPTOTICS;

D O I：

10.1016/j.cam.2014.11.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a Mehler-Heine type formula for a nonstandard family of discrete orthogonal polynomials. Concretely, we consider the Delta-Meixner-Sobolev polynomials which are orthogonal with respect to an inner product involving the Pascal distribution and the forward difference operator. Consequences on the zeros of these polynomials are analyzed and illustrated numerically. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：228 / 234

页数：7

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